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Finding the Fourth Proportional to 707.45, 976.30 and 392.73

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Solution

The fourth proportional to 707.45, 976.30 and 392.73 is: 541.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.45 : 976.30 = 392.73 : x
  2. Step 2: Convert to fraction form
    707.45/976.30 = 392.73/x
  3. Step 3: Cross multiply
    707.45x = 976.30 × 392.73
  4. Step 4: Simplify right side
    707.45x = 383,422.30
  5. Step 5: Solve for x
    x = 383,422.30/707.45
  6. Step 6: Final answer
    x = 541.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.